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Finding the Fourth Proportional to 41,205.60, 61,827.60 and 30,837.60

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Solution

The fourth proportional to 41,205.60, 61,827.60 and 30,837.60 is: 46,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.60 : 61,827.60 = 30,837.60 : x
  2. Step 2: Convert to fraction form
    41,205.60/61,827.60 = 30,837.60/x
  3. Step 3: Cross multiply
    41,205.60x = 61,827.60 × 30,837.60
  4. Step 4: Simplify right side
    41,205.60x = 1,906,614,797.76
  5. Step 5: Solve for x
    x = 1,906,614,797.76/41,205.60
  6. Step 6: Final answer
    x = 46,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.